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  • On the Dirichlet problem for degenerate Beltrami equations 
    Gutlyanskiĭ, V.Ya.; Ryazanov, V.I.; Sevost’yanov, E.A.; Yakubov, E. (Доповіді НАН України, 2023)
    Вивчається задача Діріхле для виродженого рівняння Бельтрамі з неперервними межовими даними у довільній однозв’язній області комплексної площини. Встановлені критерії існування регулярних дискретних відкритих розв’язків ...
  • On the Dirichlet problem for quasilinear Poisson equations 
    Gutlyanskii, V.Ya.; Nesmelova, O.V.; Ryazanov, V.I. (Праці Інституту прикладної математики і механіки НАН України, 2017)
    We study the Dirichlet problem for the quasilinear partial differential equations of the form Δu(z) = h(z)·f(u(z)) in the unit disk D ⊂ C with functions h : D → R in the class Lp(D), p > 1, and continuous functions f : R ...
  • On the discontinuity of the specific heat of the Ising model on a scale-free network 
    Krasnytska, M.; Berche, B.; Holovatch, Yu.; Kenna, R. (Condensed Matter Physics, 2015)
    We consider the Ising model on an annealed scale-free network with node-degree distribution characterized by a power-law decay P(K)∼ K-λ. It is well established that the model is characterized by classical mean-field ...
  • On the discovery of magnon sidebands in insulating antiferromagnets 
    White, R.M.; Yen, W.M. (Физика низких температур, 2005)
    In this article, we reconstruct the course of events which led to the discovery and identification of magnon sidebands in the optical spectrum of simple antiferromagnetic insulators.
  • On the Discrete Spectrum of Complex Banded Matrices 
    Golinskii, L.; Kudryavtsev, M. (Журнал математической физики, анализа, геометрии, 2006)
    The discrete spectrum of complex banded matrices that are compact perturbations of the standard banded matrix of order p is under consideration. The rate of stabilization for the matrix entries sharp in the sense of order ...
  • On the distribution of a rotationally invariant α-stable process at the hitting time of a given hyperplane 
    Osypchuk, M.M.; Portenko, M.I. (Доповіді НАН України, 2018)
    We find out an explicit formula for the distribution of a rotationally invariant α-stable process at that moment of time, when it hits a given hyperplane for the first time. The case of 1 < α ≤ 2 is considered.
  • On the dynamics of solutions for autonomous reaction-diffusion equation in Rⁿ with multivalued nonlinearity 
    Stanzhitsky, A.N.; Gorban, N.V. (Український математичний вісник, 2009)
    We consider the dynamics of solutions for autonomous reaction-diffusion equation in Rⁿ with multivalued nonlinearity. The a priory estimates for solutions are obtained. The existence of compact invariant global attractor ...
  • On the Ecology of the Wasp Eustenancistrocerus amadanensis (Hymenoptera, Vespidae, Eumeninae) in the Crimea 
    Fateryga, A.V.; Budashkin, Yu.I.; Puzanov, D.V. (Вестник зоологии, 2013)
  • On the edge-Wiener index of the disjunctive product of simple graphs 
    Azari, M.; Iranmanesh, A. (Algebra and Discrete Mathematics, 2020)
    The edge-Wiener index of a simple connected graph G is defined as the sum of distances between all pairs of edges of G where the distance between two edges in G is the distance between the corresponding vertices in the ...
  • On the Effective Action of Dressed Mean Fields for N = 4 Super-Yang-Mills Theory 
    Cvetic, G.; Kondrashuk, I.; Schmidt, I. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    On the basis of the general considerations such as R-operation and Slavnov-Taylor identity we show that the effective action, being understood as Legendre transform of the logarithm of the path integral, possesses particular ...
  • On the effective interaction of waves in inhomogeneous, nonstationary media 
    Buts, V.A.; Tolstoluzhsky, A.P. (Вопросы атомной науки и техники, 2017)
    The description of new conditions of effective interaction of waves in periodically inhomogeneous and periodically nonstationary media is given. New conditions, as a special case, contain the known conditions of interaction ...
  • On the effect of superfluid flows on the interaction of microwaves with He II 
    Khodusov, V.D.; Naumovets, A.S. (Condensed Matter Physics, 2012)
    The paper proposes a possible mechanism of interaction of microwaves with superfluid helium that results in an experimentally observed narrow peak of microwave absorption on the frequencies by the order of the roton ...
  • On the efficiency of the operator splitting method 
    Faragó, I. (2006)
    Operator splitting is a widely used procedure in the numerical solution of complex problems. The point in operator splitting is the replacement of the original model with one in which appropriately chosen groups of the ...
  • On the efficient method of solving ill-posed problems by adaptive discretization 
    Solodky, S.G.; Volynets, E.A. (2009)
    To solve ill-posed problems Ax = f is used the Fakeev-Lardy regularization, using an adaptive discretization strategy. It is shown that for some classes of finitely smoothing operators proposed algorithm achieves the optimal ...
  • On the embedding of Waterman class in the class Hωp 
    Goginava, U. (Український математичний журнал, 2005)
    In this paper the necessary and sufficient condition for the inclusion of class ΛBV in the class Hωp is found.
  • On the emission spectrum of oscillator trapped in a potential well 
    Kirichok, A.V.; Kuklin, V.M.; Zagorodny, A.G. (Вопросы атомной науки и техники, 2013)
    We study the spectrum of electromagnetic waves emitted by oscillator, trapped in an external potential well. It is assumed that the natural frequency of the oscillator is much greater than the frequency of oscillations in ...
  • On the energy and pseudo-angle of Frenet vector fields in Rⁿᵥ 
    Altin, A. (Український математичний журнал, 2011)
    In this paper, we compute the energy of a Frenet vector field and the pseudo-angle between Frenet vectors for a given non-null curve C in semi-Euclidean space of signature (n,v). It is shown that the energy and pseudo-angle ...
  • On the equation of state and properties of the plasma in underwater discharges 
    Porytskyy, P.V.; Starchyk, P.D. (Вопросы атомной науки и техники, 2017)
    It is considered the peculiarities of the equation of state of plasma in underwater discharges. The transport properties of a nonideal plasma of underwater discharges are calculated at pressure range from 1 bar up to 200 ...
  • On the equivalence of certain seminorms on some weighted Hölder spaces 
    Degtyarev, S.P. (Труды Института прикладной математики и механики, 2016)
    The present paper is devoted to studying of some weighted H¨older spaces. These spaces are designed in the way to serve as a framework for studying different statements for the thin film equations in weighted classes of ...
  • On the equivalence of integral norms on the space of measurable polynomials with respect to a convex measure 
    Berezhnoy, V. (2008)
    We prove that, for a convex product-measure μ on a locally convex space, for any set A of positive measure, on the space of measurable polynomials of degree d, all Lp(μ)-norms coincide with the norms obtained by restricting ...